document.write( "Question 990080: One number is 40 more than twice another. Their product is 40 more than twice their sum. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #610179 by macston(5194)\"\" \"About 
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\n" ); document.write( "x=one number; y=other number
\n" ); document.write( ".
\n" ); document.write( "x=2y+40
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\n" ); document.write( "\"xy=2%28x%2By%29%2B40\"
\n" ); document.write( ".
\n" ); document.write( "\"%282y%2B40%29%28y%29=2x%2B2y%2B40\"
\n" ); document.write( "\"2y%5E2%2B40y=2%282y%2B40%29%2B2y%2B40\"
\n" ); document.write( "\"2y%5E2%2B40y=4y%2B80%2B2y%2B40\"
\n" ); document.write( "\"2y%5E2%2B40y=6y%2B120\"
\n" ); document.write( "\"2y%5E2%2B34y-120=0\"
\n" ); document.write( "\"y%5E2%2B17y-60=0\"
\n" ); document.write( "\"%28y%2B20%29%28y-3%29=0\"
\n" ); document.write( "\"y%2B20=0\" \"OR\" \"y-3=0\"
\n" ); document.write( "\"y=-20\" \"OR\" \"y=3\"
\n" ); document.write( ".
\n" ); document.write( "If y=-20:
\n" ); document.write( "x=2y+40
\n" ); document.write( "x=2(-20)+40
\n" ); document.write( "x=-40+40
\n" ); document.write( "x=0
\n" ); document.write( ".
\n" ); document.write( "Solution 1: (0,-20)
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\n" ); document.write( "CHECK:
\n" ); document.write( "\"xy=2%28x%2By%29%2B40\"
\n" ); document.write( "\"%280%29%28-20%29=2%280%2B%28-20%29%29%2B40\"
\n" ); document.write( "\"0=-40%2B40\"
\n" ); document.write( "\"0=0\"
\n" ); document.write( ".
\n" ); document.write( "If y=3:
\n" ); document.write( "x=2y+40
\n" ); document.write( "x=2(3)+40
\n" ); document.write( "x=6+40
\n" ); document.write( "x=46
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\n" ); document.write( "Solution 2: (46,3)
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\n" ); document.write( "CHECK:
\n" ); document.write( "\"xy=2%28x%2By%29%2B40\"
\n" ); document.write( "\"%2846%29%283%29=2%2846%2B3%29%2B40\"
\n" ); document.write( "\"138=2%2849%29%2B40\"
\n" ); document.write( "\"138=98%2B40\"
\n" ); document.write( "\"138=138\"
\n" ); document.write( ".
\n" ); document.write( "ANSWER: The numbers are 0 and -20, or 46 and 3.\r
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